97704000 has 336 divisors, whose sum is σ = 370880640. Its totient is φ = 24499200.

The previous prime is 97703989. The next prime is 97704001. The reversal of 97704000 is 40779.

It is not an unprimeable number, because it can be changed into a prime (97704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655971 + ... + 1656029.

Almost surely, 2^97704000 is an apocalyptic number.

97704000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

97704000 is an abundant number, since it is smaller than the sum of its proper divisors (273176640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97704000 is a wasteful number, since it uses less digits than its factorization.

97704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97704000 is about 9884.5333729013. The cubic root of 97704000 is about 460.5789811020.

Adding to 97704000 its reverse (40779), we get a palindrome (97744779).

The spelling of 97704000 in words is "ninety-seven million, seven hundred four thousand".